Kinetic Langevin processes with pure-jump Lévy noise satisfy strong Feller, irreducibility, spectral gap, and exponential ergodicity in low-regularity settings, with densities and C0-semigroup properties for alpha-stable cases.
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A unified large deviations analysis is proposed to study acceleration mechanisms in variants of overdamped Langevin Monte Carlo methods, supported by numerical experiments.
Establishes compactness and long-time convergence for killed Feynman-Kac semigroups with singular Schrödinger potentials on a broad class of Feller processes from statistical physics.
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On some topological and spectral properties of kinetic Langevin processes driven by L{\'e}vy noises
Kinetic Langevin processes with pure-jump Lévy noise satisfy strong Feller, irreducibility, spectral gap, and exponential ergodicity in low-regularity settings, with densities and C0-semigroup properties for alpha-stable cases.
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Accelerating Langevin Monte Carlo Sampling: A Large Deviations Analysis
A unified large deviations analysis is proposed to study acceleration mechanisms in variants of overdamped Langevin Monte Carlo methods, supported by numerical experiments.
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Long time behavior of killed Feynman-Kac semigroups with singular Schr{\"o}dinger potentials
Establishes compactness and long-time convergence for killed Feynman-Kac semigroups with singular Schrödinger potentials on a broad class of Feller processes from statistical physics.